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In ∆ PQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX : XQ = 5 : 6, then XY : QR will be
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- 5 : 11
- 6 : 5
- 11 : 6
- 11 : 5
- 5 : 11
Correct Option: A
On the basis of question we draw a figure of triangle PQR ,
XY || QR
∠PXY = ∠PQR
∠PYX = ∠PRQ
By AA–similarity,
∆PXY ~ ∆PQR
| ∴ | = | ||
| PX | XY |
| ∵ | = | ||
| QX | 6 |
| ⇒ | = | ||
| PX | 5 |
| ⇒ | = | = 5 : 11 | ||
| PX | 5 |
| ⇒ | = | ||
| PX | 5 |
| ⇒ | = | = | |||
| PQ | QR | 11 |
